SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    2447, 2449, 2451, 586, 587, 588, 589, 
    590, 607
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00079

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "12.61"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 18,
      "rows_produced_per_join": 18,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (2447,2449,2451,586,587,588,589,590,607)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "10.81",
        "eval_cost": "1.80",
        "prefix_cost": "12.61",
        "data_read_per_join": "30K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
586 konteyner-pryamoug-10882-mm-uyu-125-ml 294/300
587 konteyner-pryamoug-10882-mm-uyu-200-ml 294/300
588 konteyner-pryamoug-10882-mm-uyu-250-ml 294/300
589 konteyner-pryamoug.-108h82-mm-uyu-350-ml.-rossiya 294/300
590 konteyner-pryamoug.-108h82-mm-uyu-500ml-rossiya 294/300
607 kryshka-k-konteyneru-pryam.-10882-uyu 294/300
2447 konteyner-108-125-ml-1088227-mm-s-kryshkoy-1-100 294/300
2449 konteyner-108-250-ml-1088250-mm-s-kryshkoy-1-100 294/300
2451 konteyner-108-500-ml-10882102-mm-s-kryshkoy-1-100 294/300